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Q.

A rod of length l slides down along the inclined wall as shown in figure. At the instant shown in figure the speed of end A is v, then the speed of B will be

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a

vsinβsinα

b

vsinαsinβ

c

vcosβcosα

d

vcosαcosβ

answer is C.

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Detailed Solution

Components of velocity of A and velocity of B along the rod must be equal (since length of rod doesn’t change)vAcosβ=vBcosα⇒vB=vAcosβcosα          here vA=vTherefore, the correct answer is  (C)
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A rod of length l slides down along the inclined wall as shown in figure. At the instant shown in figure the speed of end A is v, then the speed of B will be